Solvability and conservation laws of a generalized time-fractional wave-diffusion equations via invariant analysis
by Youwei Zhang
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 12, No. 6, 2022

Abstract: In this paper, invariant analysis of a generalised time-fractional wave-diffusion equation in sense of the modified Riemann-Liouville derivative is considered. Differential invariant properties of the admitted Lie groups are used to reducing order in given wave-diffusion equation, geometric vector fields and exact solutions are obtained. The derivation of conservation laws associated with the invariant analysis of the equation are constructed by the Noether's theorem.

Online publication date: Fri, 06-Jan-2023

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